Question

If you apply the changes below to the linear parent function, F(x)=x, what is the equation of the new function? vertically compress by 1/4 flip over the y-axis

Answer 1

Answer: G(x)=-1/4x

Explanation:

Answer 2

Equation of the new function becomes f(x) =
`-(x)/(4)`

Explanation:

We are given the function f(x) = x.

The first transformation applied on this f(x) is 'vertical compression by 1/4' i.e. f(x) becomes
`(f(x))/(4)`.

This transformation shrinks the graph of f(x) towards x-axis.

Now, the next transformation applied to
`(f(x))/(4)` is 'a flip over the y-axis' i.e. 'reflection over y-axis'

i.e.
`(f(x))/(4)` becomes
`-(f(x))/(4)`

This transformation takes the mirror image of the function over y-axis.

Hence, the equation of the new function becomes f(x) =
`-(x)/(4)` and the final graph is shown below.